Answer:
336.7 yards away from the cabin....
Step-by-step explanation:
The angle 30.7° is also the angle of the upper interior angle of the triangle (near the cabin)
Use the tan function:
opposite = 200 yards
adjacent = x
tan(30.7°) = (opposite / adjacent)
tan(30.7°) = 200 yards/x
x * tan(30.7°) = 200 yards
x = 200 yards/ tan(30.7°)
x= 200/ 0.594
x = 336.7 yards.
336.7 yards away from the cabin....
Answer: 8 hours
Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.
Solution:
We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).
<u>Finding the radius of the circle.</u>
- Diameter: 10 units
- Radius: 10/2 units = 5 units
<u>Creating the equation:</u>
- (x – h)² + (y – k)² = r²
- => (x + 6)² + (y – 2)² = 5²
The equation is (x + 6)² + (y – 2)² = 5².
Learn more: brainly.com/question/26573763
Answer:
we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Step-by-step explanation:
H0 : μ = 582
H1 : μ < 582
Test statistic :
T = (xbar - μ) ÷ σ/√n
Xbar = 515 ; n = 20 ; σ = 120
T = (515 - 582) ÷ 120/√20
T = -67 / 26.832815
T = 2.50
Pvalue at t score = 2.50 ; df = 19 is 0.0187
At α = 0.0187
Pvalue > α ; Hence, we fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Answer:
She gave 5/8 to Gary.
Step-by-step explanation:
1 3/8 as an improper fraction is 11/8. 11/8 - 6/8 is 5/8.
